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Finding the Fourth Proportional to 4,046.72, 6,069.96 and 1,966.88

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Solution

The fourth proportional to 4,046.72, 6,069.96 and 1,966.88 is: 2,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.72 : 6,069.96 = 1,966.88 : x
  2. Step 2: Convert to fraction form
    4,046.72/6,069.96 = 1,966.88/x
  3. Step 3: Cross multiply
    4,046.72x = 6,069.96 × 1,966.88
  4. Step 4: Simplify right side
    4,046.72x = 11,938,882.92
  5. Step 5: Solve for x
    x = 11,938,882.92/4,046.72
  6. Step 6: Final answer
    x = 2,950.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.